The dynamic model of the optimal crediting projects Institute of Cybernetics, Georgian Academy of Sciences

摘要

The continuous dynamical model of multiple projects parallel optimal crediting desccribing by means of the system of differential equations with control in phase space has been constructed and analysed. The criterian of optimality is presented as integral functional of the profit The model considers projects start and finish in any given miment of time, crediting several credit for previous moments. The process is controleed by credit bank stipulated with plan credit derivation on given moment of time interval from starting moment to the finishing moment, where the starting moment coincides to exact lower bound of the projects starting moments, and the finishing moment coincides to exact upper bound of the projects finishing moments, then that integral functional of profit (the bank profit) is maximal when initial conditions and crediting rules which are coordinated with creditors in advance are satisfied.